Answer :
Answer:
Step-by-step explanation:
The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.
-46 - 8x > 22
-8x > 22 + 46
-8x > 68
x < 68/-8 (we divided by -8 so the inequality changed direction)
x < -17/2
Step-by-step explanation:
-46 - 8x > 22: Original problem
-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality
-8x > 68: Simplification
x < 68/-8 : You have to flip the inequality symbol because you are dividing by
a negative number..
x< -8.5 : The answer!!!!!
Checking your answer....
-46 - 8x > 22 : Original problem
-46 - 8(-8.5) > 22 : Substitution
-46 + 68 > 22 : Simplification
22 > 22 : Answer check successful!!!
(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)
Hope this helps!!!!